3446475042816 has 832 divisors, whose sum is σ = 12150967127040. Its totient is φ = 954523975680.

The previous prime is 3446475042601. The next prime is 3446475042821. The reversal of 3446475042816 is 6182405746443.

3446475042816 is a `hidden beast` number, since 3 + 44 + 64 + 7 + 504 + 28 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562136071 + ... + 562142201.

Almost surely, 2^{3446475042816} is an apocalyptic number.

3446475042816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3446475042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075483563520).

3446475042816 is an abundant number, since it is smaller than the sum of its proper divisors (8704492084224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3446475042816 is a wasteful number, since it uses less digits than its factorization.

3446475042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 3446475042816 in words is "three trillion, four hundred forty-six billion, four hundred seventy-five million, forty-two thousand, eight hundred sixteen".